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Finding the Fourth Proportional to 6,284, 8,671.92 and 3,489.76

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Solution

The fourth proportional to 6,284, 8,671.92 and 3,489.76 is: 4,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284 : 8,671.92 = 3,489.76 : x
  2. Step 2: Convert to fraction form
    6,284/8,671.92 = 3,489.76/x
  3. Step 3: Cross multiply
    6,284x = 8,671.92 × 3,489.76
  4. Step 4: Simplify right side
    6,284x = 30,262,919.54
  5. Step 5: Solve for x
    x = 30,262,919.54/6,284
  6. Step 6: Final answer
    x = 4,815.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.